Spherically Steerable Vector Differential Microphone Arrays

Date

2024-01-01

Author

Hacıhabiboğlu, Hüseyin

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Differential microphone arrays (DMAs) use multiple omnidirectional microphones for synthesising higher-order microphone directivity patterns. In their most basic form, they can be used to obtain fixed-directivity or horizontally steerable beamformers that can satisfy certain constraints. We propose a vector differential microphone array (VDMA) which is frequency- and direction-invariantly steerable in three dimensions. The proposed design comprises pressure and particle velocity sensors positioned on a circular constellation in a plane and allows extracting the third-order spherical harmonic decomposition of the sound field. This decomposition can then be used to obtain spherically direction-invariant steered beams. Synthesis of a maximum directivity factor (MaxDF) directivity pattern is demonstrated. A closed-form expression for the proposed array's white noise gain (WNG) is derived. The robustness of the proposed design to noise is analysed.

Subject Keywords

beamforming, differential microphone arrays, quaternion signal processing, spherical harmonic decomposition

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85204115688&origin=inward
https://hdl.handle.net/11511/111169

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Graduate School of Informatics, Article